Cohomology of local systems coming from p-adic hyperplane arrangements

被引：0

作者：

Alon, G ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2005年 / 147卷 / 1期

关键词：

Exact Sequence; Local System; Simplicial Complex; Hyperplane Arrangement; Finite Dimensional Vector Space;

D O I：

10.1007/BF02785364

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a p-adic hyperplane arrangement in a vector space V, we consider a local system of De Shalit on the Bruhat-Tits building of PGL(V). We express this local system in terms of Orlik-Solomon algebras, and calculate its cohomology in the case where the arrangement is finite.

引用

页码：189 / 207

页数：19